Question

17. A cone has a radius of 15 cm and a volume of 540 cm3. Find the volume of a similar cone with a radius of 10 cm. (1 point)
54 cm3
240 cm3
160 cm3
360 cm3

Answer 1

V1 = 1/3 (pi) ri^2 h V2 = 1/3(pi) r2^2 h


now v1/v2 = r1 ^2/ r2 ^2

540/x = (15/10)^2 = (3/2)^2 = 9/4 so x= 540*4/9 = 240

Answer 2

hope u understood

Answer 3

Thankk you.!

Answer 4

welcome :D

Answer 5

***a similar cone ***

that means all the dimensions scale. In other words, when you shrink the radius from 15 to 10 you also shrink the height so that the smaller cone has the same shape.
(if you kept the same height, the new cone would be skinnier than the original)

Answer 6

In these problems they want you to remember that volume scales as the third power of the length of a side (or in this case radius).

find the scale factor that takes you from 15 to 10
raise that same factor to the third power.
multiply the original volume by this number to get the new volume.

Can you do that ?

Answer 7

find the scale factor that takes you from 15 to 10

that means find k where
15*k = 10

what is k ?